n=2 to 8 |
|
n=13 to 15 |
n=16 to 18 |
n=19 to 21 |
n=22 to 24 |
n=25 to 27 |
n=28 to 29 |
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Binomial Probability n = 9 to 12 | |||||||||||||||
Calculate Pr[x] | 0.059582 | cum P(<x) | 0.984098 | P(>x) | 0.015902 | ||||||||||
Enter p = | 0.05 | Enter n= | 20 | Enter x= | 3 | ||||||||||
Probability of Success, p | |||||||||||||||
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
9 | 0 | 0.913517 | 0.630249 | 0.3874205 | 0.134218 | 0.040354 | 0.010078 | 0.001953 | 0.000262 | 1.97E-05 | 5.12E-07 | 1E-09 | 1.95E-12 | 1E-18 | 0 |
1 | 0.083047 | 0.298539 | 0.3874205 | 0.30199 | 0.15565 | 0.060466 | 0.017578 | 0.003539 | 0.000413 | 1.84E-05 | 8.1E-08 | 3.34E-10 | 8.91E-16 | 1 | |
2 | 0.003355 | 0.06285 | 0.1721869 | 0.30199 | 0.266828 | 0.161243 | 0.070313 | 0.021234 | 0.003858 | 0.000295 | 2.92E-06 | 2.54E-08 | 3.52836E-13 | 2 | |
3 | 7.91E-05 | 0.007718 | 0.044641 | 0.176161 | 0.266828 | 0.250823 | 0.164063 | 0.074318 | 0.021004 | 0.002753 | 6.12E-05 | 1.13E-06 | 8.15051E-11 | 3 | |
4 | 1.2E-06 | 0.000609 | 0.0074402 | 0.06606 | 0.171532 | 0.250823 | 0.246094 | 0.167215 | 0.073514 | 0.016515 | 0.000827 | 3.21E-05 | 1.21035E-08 | 4 | |
5 | 1.21E-08 | 3.21E-05 | 0.0008267 | 0.016515 | 0.073514 | 0.167215 | 0.246094 | 0.250823 | 0.171532 | 0.06606 | 0.00744 | 0.000609 | 1.19825E-06 | 5 | |
6 | 8.15E-11 | 1.13E-06 | 6.124E-05 | 0.002753 | 0.021004 | 0.074318 | 0.164063 | 0.250823 | 0.266828 | 0.176161 | 0.044641 | 0.007718 | 7.90843E-05 | 6 | |
7 | 3.53E-13 | 2.54E-08 | 2.916E-06 | 0.000295 | 0.003858 | 0.021234 | 0.070313 | 0.161243 | 0.266828 | 0.30199 | 0.172187 | 0.06285 | 0.003355435 | 7 | |
8 | 8.91E-16 | 3.34E-10 | 8.1E-08 | 1.84E-05 | 0.000413 | 0.003539 | 0.017578 | 0.060466 | 0.15565 | 0.30199 | 0.38742 | 0.298539 | 0.083047022 | 8 | |
9 | 1E-18 | 1.95E-12 | 1E-09 | 5.12E-07 | 1.97E-05 | 0.000262 | 0.001953 | 0.010078 | 0.040354 | 0.134218 | 0.38742 | 0.630249 | 0.913517247 | 9 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
10 | 0 | 0.904382 | 0.598737 | 0.3486784 | 0.107374 | 0.028248 | 0.006047 | 0.000977 | 0.000105 | 5.9E-06 | 1.02E-07 | 1E-10 | 9.77E-14 | 1E-20 | 0 |
1 | 0.091352 | 0.315125 | 0.3874205 | 0.268435 | 0.121061 | 0.040311 | 0.009766 | 0.001573 | 0.000138 | 4.1E-06 | 9E-09 | 1.86E-11 | 9.9E-18 | 1 | |
2 | 0.004152 | 0.074635 | 0.1937102 | 0.30199 | 0.233474 | 0.120932 | 0.043945 | 0.010617 | 0.001447 | 7.37E-05 | 3.64E-07 | 1.59E-09 | 4.41045E-15 | 2 | |
3 | 0.000112 | 0.010475 | 0.0573956 | 0.201327 | 0.266828 | 0.214991 | 0.117188 | 0.042467 | 0.009002 | 0.000786 | 8.75E-06 | 8.04E-08 | 1.16436E-12 | 3 | |
4 | 1.98E-06 | 0.000965 | 0.0111603 | 0.08808 | 0.200121 | 0.250823 | 0.205078 | 0.111477 | 0.036757 | 0.005505 | 0.000138 | 2.67E-06 | 2.01725E-10 | 4 | |
5 | 2.4E-08 | 6.09E-05 | 0.001488 | 0.026424 | 0.102919 | 0.200658 | 0.246094 | 0.200658 | 0.102919 | 0.026424 | 0.001488 | 6.09E-05 | 2.39649E-08 | 5 | |
6 | 2.02E-10 | 2.67E-06 | 0.0001378 | 0.005505 | 0.036757 | 0.111477 | 0.205078 | 0.250823 | 0.200121 | 0.08808 | 0.01116 | 0.000965 | 1.97711E-06 | 6 | |
7 | 1.16E-12 | 8.04E-08 | 8.748E-06 | 0.000786 | 0.009002 | 0.042467 | 0.117188 | 0.214991 | 0.266828 | 0.201327 | 0.057396 | 0.010475 | 0.000111848 | 7 | |
8 | 4.41E-15 | 1.59E-09 | 3.645E-07 | 7.37E-05 | 0.001447 | 0.010617 | 0.043945 | 0.120932 | 0.233474 | 0.30199 | 0.19371 | 0.074635 | 0.004152351 | 8 | |
9 | 9.9E-18 | 1.86E-11 | 9E-09 | 4.1E-06 | 0.000138 | 0.001573 | 0.009766 | 0.040311 | 0.121061 | 0.268435 | 0.38742 | 0.315125 | 0.091351725 | 9 | |
10 | 1E-20 | 9.77E-14 | 1E-10 | 1.02E-07 | 5.9E-06 | 0.000105 | 0.000977 | 0.006047 | 0.028248 | 0.107374 | 0.348678 | 0.598737 | 0.904382075 | 10 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
11 | 0 | 0.895338 | 0.5688 | 0.3138106 | 0.085899 | 0.019773 | 0.003628 | 0.000488 | 4.19E-05 | 1.77E-06 | 2.05E-08 | 1E-11 | 4.88E-15 | 1E-22 | 0 |
1 | 0.099482 | 0.329305 | 0.3835463 | 0.236223 | 0.093217 | 0.026605 | 0.005371 | 0.000692 | 4.55E-05 | 9.01E-07 | 9.9E-10 | 1.02E-12 | 1.089E-19 | 1 | |
2 | 0.005024 | 0.086659 | 0.2130813 | 0.295279 | 0.19975 | 0.088684 | 0.026855 | 0.00519 | 0.00053 | 1.8E-05 | 4.45E-08 | 9.69E-11 | 5.39055E-17 | 2 | |
3 | 0.000152 | 0.013683 | 0.0710271 | 0.221459 | 0.256822 | 0.177367 | 0.080566 | 0.023357 | 0.003713 | 0.000216 | 1.2E-06 | 5.53E-09 | 1.60099E-14 | 3 | |
4 | 3.08E-06 | 0.00144 | 0.0157838 | 0.11073 | 0.220133 | 0.23649 | 0.161133 | 0.070071 | 0.017328 | 0.00173 | 2.17E-05 | 2.1E-07 | 3.16997E-12 | 4 | |
5 | 4.35E-08 | 0.000106 | 0.0024553 | 0.038755 | 0.13208 | 0.220724 | 0.225586 | 0.147149 | 0.056606 | 0.009689 | 0.000273 | 5.59E-06 | 4.39357E-10 | 5 | |
6 | 4.39E-10 | 5.59E-06 | 0.0002728 | 0.009689 | 0.056606 | 0.147149 | 0.225586 | 0.220724 | 0.13208 | 0.038755 | 0.002455 | 0.000106 | 4.34964E-08 | 6 | |
7 | 3.17E-12 | 2.1E-07 | 2.165E-05 | 0.00173 | 0.017328 | 0.070071 | 0.161133 | 0.23649 | 0.220133 | 0.11073 | 0.015784 | 0.00144 | 3.07582E-06 | 7 | |
8 | 1.6E-14 | 5.53E-09 | 1.203E-06 | 0.000216 | 0.003713 | 0.023357 | 0.080566 | 0.177367 | 0.256822 | 0.221459 | 0.071027 | 0.013683 | 0.000152253 | 8 | |
9 | 5.39E-17 | 9.69E-11 | 4.455E-08 | 1.8E-05 | 0.00053 | 0.00519 | 0.026855 | 0.088684 | 0.19975 | 0.295279 | 0.213081 | 0.086659 | 0.005024345 | 9 | |
10 | 1.09E-19 | 1.02E-12 | 9.9E-10 | 9.01E-07 | 4.55E-05 | 0.000692 | 0.005371 | 0.026605 | 0.093217 | 0.236223 | 0.383546 | 0.329305 | 0.099482028 | 10 | |
11 | 1E-22 | 4.88E-15 | 1E-11 | 2.05E-08 | 1.77E-06 | 4.19E-05 | 0.000488 | 0.003628 | 0.019773 | 0.085899 | 0.313811 | 0.5688 | 0.895338254 | 11 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
12 | 0 | 0.886385 | 0.54036 | 0.2824295 | 0.068719 | 0.013841 | 0.002177 | 0.000244 | 1.68E-05 | 5.31E-07 | 4.1E-09 | 1E-12 | 2.44E-16 | 1E-24 | 0 |
1 | 0.107441 | 0.34128 | 0.3765727 | 0.206158 | 0.071184 | 0.017414 | 0.00293 | 0.000302 | 1.49E-05 | 1.97E-07 | 1.08E-10 | 5.57E-14 | 1.188E-21 | 1 | |
2 | 0.005969 | 0.098792 | 0.2301278 | 0.283468 | 0.16779 | 0.063852 | 0.016113 | 0.002491 | 0.000191 | 4.33E-06 | 5.35E-09 | 5.82E-12 | 6.46866E-19 | 2 | |
3 | 0.000201 | 0.017332 | 0.0852325 | 0.236223 | 0.2397 | 0.141894 | 0.053711 | 0.012457 | 0.001485 | 5.77E-05 | 1.6E-07 | 3.68E-10 | 2.13466E-16 | 3 | |
4 | 4.57E-06 | 0.002052 | 0.0213081 | 0.132876 | 0.23114 | 0.212841 | 0.12085 | 0.042043 | 0.007798 | 0.000519 | 3.25E-06 | 1.57E-08 | 4.75495E-14 | 4 | |
5 | 7.38E-08 | 0.000173 | 0.0037881 | 0.05315 | 0.158496 | 0.22703 | 0.193359 | 0.100902 | 0.029111 | 0.003322 | 4.68E-05 | 4.79E-07 | 7.53184E-12 | 5 | |
6 | 8.7E-10 | 1.06E-05 | 0.0004911 | 0.015502 | 0.079248 | 0.176579 | 0.225586 | 0.176579 | 0.079248 | 0.015502 | 0.000491 | 1.06E-05 | 8.69928E-10 | 6 | |
7 | 7.53E-12 | 4.79E-07 | 4.677E-05 | 0.003322 | 0.029111 | 0.100902 | 0.193359 | 0.22703 | 0.158496 | 0.05315 | 0.003788 | 0.000173 | 7.38196E-08 | 7 | |
8 | 4.75E-14 | 1.57E-08 | 3.248E-06 | 0.000519 | 0.007798 | 0.042043 | 0.12085 | 0.212841 | 0.23114 | 0.132876 | 0.021308 | 0.002052 | 4.56759E-06 | 8 | |
9 | 2.13E-16 | 3.68E-10 | 1.604E-07 | 5.77E-05 | 0.001485 | 0.012457 | 0.053711 | 0.141894 | 0.2397 | 0.236223 | 0.085233 | 0.017332 | 0.000200974 | 9 | |
10 | 6.47E-19 | 5.82E-12 | 5.346E-09 | 4.33E-06 | 0.000191 | 0.002491 | 0.016113 | 0.063852 | 0.16779 | 0.283468 | 0.230128 | 0.098792 | 0.005968922 | 10 | |
11 | 1.19E-21 | 5.57E-14 | 1.08E-10 | 1.97E-07 | 1.49E-05 | 0.000302 | 0.00293 | 0.017414 | 0.071184 | 0.206158 | 0.376573 | 0.34128 | 0.107440591 | 11 | |
12 | 1E-24 | 2.44E-16 | 1E-12 | 4.1E-09 | 5.31E-07 | 1.68E-05 | 0.000244 | 0.002177 | 0.013841 | 0.068719 | 0.28243 | 0.54036 | 0.886384872 | 12 |